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A290868
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a(n) is the number of fixed tree polycubes of size n that are proper in n-5 dimensions.
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0
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0, 1, 568, 116004, 15998985, 1839569920, 194498568156, 19903875199488, 2028587719434848, 209368404017676288, 22100537701746000000, 2400300773277150740480, 269182253907724040230656, 31234215889947671471849472, 3753858472917234012947022848, 467486957946431078400000000000
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OFFSET
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5,3
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COMMENTS
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Denoted DT(n,n-5).
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LINKS
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FORMULA
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a(n) = 2^(n-9)*n^(n-11)*(n-5)*(240*n^11 - 6480*n^10 + 73640*n^9 - 461232*n^8 + 1778615*n^7 - 4707195*n^6 + 11632070*n^5 - 41919528*n^4 + 158857920*n^3 - 483329520*n^2 + 1481660640*n - 2863123200)/360. (proved)
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CROSSREFS
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A290738 gives the total number of fixed n-cell polycubes (not necessarily trees) that are proper in n-5 dimensions.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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